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So we can draw this nice ellipse and thinking of Kepler who says "equal areas in equal times" and using the symmetry of the ellipse, we draw this nice pic|dw:1427846321382:dw| Now we just slide that dot in the center to the left until it divides the left area into a third of the total area in the bottom half. =P
|dw:1427846545916:dw| \[\huge \frac{ A_{near} }{ t_{near} } = \frac{ A_{far} }{ t_{far} }\] |dw:1427846718067:dw|
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